In this paper, by numerical calculation based on Mie scattering and anomalous diffraction theories, we compared and analysed the Mie scattering and anomalous diffraction of spheres with refractue index near 1 in detail, and present a criterion of spheres with refractive index near 1 when anomalous diffraction theory can be used to replace Mie scattering theory.

Parameter fitting between anomalous diffraction approach (ADA) theory and experimental data is applied to analyze scattering properties, which related with droplet size, refractive index of polymer in polymer dispersed liquid crystal (PDLC).

Simulation experiments illustrate that it is feasible to use the anomalous diffraction approximation to inverse the circular cylinder particle size distribution in the total light scattering technique,and the inversion results are steady and reliable.

Based on the anisotropic diffraction theory of phase gratings of Stepanov et al. , using the method developed by Gu and Li, we have made a detail calculation of the effect of anomalous diffraction of a laser beam passing through a cube of LiNbO3: Fe crystal.

The transmission curve and absorption curve of LiNbO3 are measured. In addition, the anomalous diffraction patterns will not appear when the wave length of the strong laser beam is 694nm. For the above experiment we propose an analysis of the mechanism of photo-induced fractive index charge of LiNbO3.

Anomalous diffraction effects observed on the x-ray diffraction patterns of decomposing supersaturated solid solutions

The mathematical model is considered in the anomalous diffraction approximation.

Anomalous diffraction of diphenylacetylene oligomers synthesized under elevated pressure

Comparison with results obtained using the dipole superposition method demonstrates that the accuracy of the anomalous diffraction approximation is within 15%.

Fluffy snow flakes are modeled by a polydispersion of hexagonal plates for which analytical expressions for absorption and scattering coefficients are derived using the anomalous diffraction approximation.

In the Laue diffraction photographs of ZnS single crystal containing one-dimensional disorder,there are some anomalous diffraction spots which are different from the normal diffraction spots in shape, i. e. so called"Anomalous Diffraction Spots"("ADS") (see Fig. 4-10) .In the Laue diffraction analysis of ZnS crystal 3C 2H structure transformations, in order to define the stacking faults,new phases created from the matrix,and their created directions, the "ADS" must be indexed.In the present...

In the Laue diffraction photographs of ZnS single crystal containing one-dimensional disorder,there are some anomalous diffraction spots which are different from the normal diffraction spots in shape, i. e. so called"Anomalous Diffraction Spots"("ADS") (see Fig. 4-10) .In the Laue diffraction analysis of ZnS crystal 3C 2H structure transformations, in order to define the stacking faults,new phases created from the matrix,and their created directions, the "ADS" must be indexed.In the present article, at first the formulas for calculating" ADS"in curve zones of the Laue diffraction diagram have been derived.The formulas are shown as follow:Using the formulas.some"ADS"in 3C-and 2H-ZnS Laue photographs have been calculated.The calculated values are good agreement with the experimental data, so that the"ADS"could be regarded as one of the X-ray diffraction effects due to the stacking faults.The .results also show the hypothesis that there are reciprocal rods in the stacking faults' crystals is reasonable. Both the"ADS" and the streacking in the Laue photographs are the diffraction effects due to the stacking faults, but the former is a outcome resulted from characteristic reflection spheres intersecting the reciprocal rods, and the latter is the outcome resulted from the continuous reflection spheres intersecting the reciprocal rods.Therefore,the"ADS"wiIl overlap certainly upon the diffuse streacking.The shape of the"ADS"depends on the relative position of the reciprocal rods and the characteristic reflection sphere .When the sphere intersects the rods,the most"ADS"are elliptical (see Fig.6-10), and a few spots round (see Fig.4-5); when the sphere intersects the rods tangentially, the "ADS" are just like a "crescent moon"or a"dumbbell".The black extent of the "ADS"depends on the intensity distribution at the point where the characteristic reflection sphere intersects the reciprocal rods,and the intensity distribution of the reciprocal rods is a function of one-dimensional disorder in the crystal.Therefore,the intensity variation of the"ADS" indicates directly the extent of one-dimensional disorder in the crystal.When the density of the stacking faults is lower, although the diffuse streacking tends to disappear, people can judge the existence of the stacking faults by determining the"ADS" (see Fig.9), and also can judge the directions and distribution of one-dimensional disorder in the crystal by analysing the "ADS"(see Fig.10 and reference[2]).The formulas for calculating the"ADS"are fit to the case in which the incident X-ray is parallel or perpendicular to the reciprocal rods in the crystal.When the condition is not satisfied,the crystal may be gradually returned (several degrees per time) to the proper orientation, at the same time the Laue photographs would be taken, and finally the indexing of "ADS" would be performed.

Based on the anisotropic diffraction theory of phase gratings of Stepanov et al., using the method developed by Gu and Li, we have made a detail calculation of the effect of anomalous diffraction of a laser beam passing through a cube of LiNbO3: Fe crystal. Fourier transform of the chaotic destribution of electric charge excessively accumalated in small regions shows the existence of infinite number of phase gratings. The diffraction pattern is determined by the diffraction efficiency of these...

Based on the anisotropic diffraction theory of phase gratings of Stepanov et al., using the method developed by Gu and Li, we have made a detail calculation of the effect of anomalous diffraction of a laser beam passing through a cube of LiNbO3: Fe crystal. Fourier transform of the chaotic destribution of electric charge excessively accumalated in small regions shows the existence of infinite number of phase gratings. The diffraction pattern is determined by the diffraction efficiency of these gratings. The results of calculation show that the two lobes on both sides of the central spot the shapes of which are determined by the lease effect can be interpreted. Theory and experimental data fit fairly well.

Some experimental facts concerning the anomalous diffraction pattern which arises when a laser beam o ray passes through a LiNbO3: Fe crystal with diffracted e ray and related phenomena in the Raman spectra are described. And the same method as was used in ref. [1| is applied to calculate the diffraction pattern quantitatively. Result of the calculations fits the experiment fairly well, this manifests the applicability of the theory of anisotropic diffraction of volume phase gratings to the...

Some experimental facts concerning the anomalous diffraction pattern which arises when a laser beam o ray passes through a LiNbO3: Fe crystal with diffracted e ray and related phenomena in the Raman spectra are described. And the same method as was used in ref. [1| is applied to calculate the diffraction pattern quantitatively. Result of the calculations fits the experiment fairly well, this manifests the applicability of the theory of anisotropic diffraction of volume phase gratings to the anomalous diffraction with a 90° rotation of the polarization of the beams. Many other experimental facts are interpreted as well.